what property does the number sentence show on 8+0=8
The Correct Answer and Explanation is:
The number sentence 8+0=88 + 0 = 88+0=8 demonstrates the Identity Property of Addition.
Explanation:
The Identity Property of Addition states that when you add zero to any number, the value of the number remains unchanged. In this case, 8 is the number, and when you add 0 to it, the result is still 8.
This property is significant because zero is known as the “additive identity” in arithmetic. Zero does not affect the sum when added to any number, unlike other numbers that change the result. Mathematically, this can be expressed as:a+0=aa + 0 = aa+0=a
Where aaa represents any number. This property helps in simplifying expressions and solving equations, as it reinforces that adding zero does not alter the value of the operand.
Real-World Example:
If you have 8 apples and you add 0 more apples, you still have 8 apples. The total number of apples is unchanged because you added nothing to it. This mirrors the concept in mathematics where adding zero does not affect the outcome.
Why is it important?
This property is foundational in many areas of mathematics. It ensures consistency in arithmetic operations and is critical when solving equations or simplifying expressions. It also plays a key role in defining other properties, such as the distributive property and properties related to zero in multiplication and division.
In summary, the number sentence 8+0=88 + 0 = 88+0=8 exemplifies the Identity Property of Addition, which emphasizes that zero does not change the value of the number to which it is added.
